7512
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18840
- Proper Divisor Sum (Aliquot Sum)
- 11328
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 1878
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 88
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- If a, b in sequence, so is ab+8.at n=31A009331
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 21.at n=35A031519
- Every run of digits of n in base 5 has length 2.at n=37A033003
- Difference between number of nonprimes and primes in reduced residue system of primorial numbers.at n=7A048980
- Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives j values.at n=11A054206
- Numbers which are the sum of their proper divisors containing the digit 5.at n=8A059464
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=37A059518
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=34A063346
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=24A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=24A077274
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=32A078667
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=29A090784
- Molien series for symmetrized weight enumerators of self-dual codes over GF(4) + GF(4)u with u^2 = 0.at n=35A092549
- Structured truncated icosahedral numbers.at n=7A100154
- Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k hills (i.e., ud's starting at level 0). (A Grand Motzkin path is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).at n=44A109191
- Number of partitions of n such that if the smallest part is k, then both k and k+1 occur exactly once.at n=49A118267
- Numbers k such that the k-th triangular number contains only digits {1,2,8}.at n=14A119108
- Multiples of 12 containing a 12 in their decimal representation.at n=41A121032
- Partial sums of A151791.at n=28A151792
- Numbers k such that d(i)|(k - i) for i = 1..p where d(1), d(2), ..., d(p) are the digits of the decimal expansion of k.at n=68A177902